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Finding the Fourth Proportional to 8,242, 11,374 and 4,516

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Solution

The fourth proportional to 8,242, 11,374 and 4,516 is: 6,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242 : 11,374 = 4,516 : x
  2. Step 2: Convert to fraction form
    8,242/11,374 = 4,516/x
  3. Step 3: Cross multiply
    8,242x = 11,374 × 4,516
  4. Step 4: Simplify right side
    8,242x = 51,364,984
  5. Step 5: Solve for x
    x = 51,364,984/8,242
  6. Step 6: Final answer
    x = 6,232.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.